{"as_of":"2026-08-16T07:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ab97b2c772b1222db8d63c4c979e35a97d7cc5da7da985d332bd1de5f948875d","coverage":[{"denominator":3,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:40:44.182368Z","state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.02968/citation-record","integrity":"/paper/1908.02968/integrity","json":"/paper/1908.02968/citation-record.json","paper":"/paper/1908.02968"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:40:44.231431Z","title":null,"venue":null,"work_id":"5dcc3ea8-f5b2-4b40-8e48-8454ca6f1fb1","year":1963},"citing_paper":{"arxiv_id":"1908.02968","last_updated":"2019-08-08T08:21:17Z","snapshot_observed_at":"2026-08-16T03:40:05.243219Z","submitted_at":"2019-08-08T08:21:17Z","title":"Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:40:44.173061Z"},"links":{"citing_paper":"/paper/1908.02968"},"observation_digest":"sha256:ceee9446e247d5a6432be1694cfed3ad4ec3bb56eda8d8cac4c3c49996dc71b0","observation_id":"076d55b4-1d1c-498c-a712-78990ca00803","resolution":{"observed_at":"2026-08-14T14:40:44.234612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:40:44.219814Z","title":"Karpilovsky, Commutative Group Algebras , Dekker, New York, 1983","venue":null,"work_id":"1e650d5f-efb9-4163-9574-592339c5d69e","year":1983},"citing_paper":{"arxiv_id":"1908.02968","last_updated":"2019-08-08T08:21:17Z","snapshot_observed_at":"2026-08-16T03:40:05.243219Z","submitted_at":"2019-08-08T08:21:17Z","title":"Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:40:44.178487Z"},"links":{"citing_paper":"/paper/1908.02968"},"observation_digest":"sha256:169d983be491aa0c141b3d958843d77bb82d03b0c0adeb3502a342246f5c5d4b","observation_id":"5798df9d-e315-4f18-9934-3daa7757cb9c","resolution":{"observed_at":"2026-08-14T14:40:44.224021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:40:44.207764Z","title":"Kawai and N","venue":null,"work_id":"86a920b4-b0db-4362-b90b-4acfe5051bbe","year":2011},"citing_paper":{"arxiv_id":"1908.02968","last_updated":"2019-08-08T08:21:17Z","snapshot_observed_at":"2026-08-16T03:40:05.243219Z","submitted_at":"2019-08-08T08:21:17Z","title":"Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:40:44.182368Z"},"links":{"citing_paper":"/paper/1908.02968"},"observation_digest":"sha256:abbf3f175869d77576ca42809917928e908e078c6409ba0385157e4d2a95d58b","observation_id":"4b41653c-acb8-42f4-a0f3-095a28b76f1a","resolution":{"observed_at":"2026-08-14T14:40:44.212456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02968","last_updated":"2019-08-08T08:21:17Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-16T03:40:05.243219Z","submitted_at":"2019-08-08T08:21:17Z","title":"Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals"},"reference_resolution":{"displayed":3,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":2},"total_outbound_references":3},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:1908.02968."}